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Finding the Fourth Proportional to 159,093.70, 238,640.55 and 133,044.10

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Solution

The fourth proportional to 159,093.70, 238,640.55 and 133,044.10 is: 199,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,093.70 : 238,640.55 = 133,044.10 : x
  2. Step 2: Convert to fraction form
    159,093.70/238,640.55 = 133,044.10/x
  3. Step 3: Cross multiply
    159,093.70x = 238,640.55 × 133,044.10
  4. Step 4: Simplify right side
    159,093.70x = 31,749,717,198.26
  5. Step 5: Solve for x
    x = 31,749,717,198.26/159,093.70
  6. Step 6: Final answer
    x = 199,566.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.